## Linear Operators, Part 2 |

### From inside the book

Results 1-3 of 56

Page 1050

We begin our formal development by considering a

We begin our formal development by considering a

**Lebesgue**measurable function f defined on Euclidean n - space E " , supposing that f has a finite number of “ singularities ” at which it is not**Lebesgue**integrable , and defining a ...Page 1210

Q.E.D. We now turn our attention to the problem of giving an analytical representation of the map U. This problem will be discussed under the assumption that T is a self adjoint operator in a

Q.E.D. We now turn our attention to the problem of giving an analytical representation of the map U. This problem will be discussed under the assumption that T is a self adjoint operator in a

**Lebesgue**space L ( S , E , v ) which is ...Page 1913

( See also Set function ) Borel or Borel -

( See also Set function ) Borel or Borel -

**Lebesgue**, ( 139 ) Borel - Stieltjes , ( 142 ) decomposition of . ( See Decompoas Metrization , of a measure space , II1.7.1 ( 158. sition ) determined by a function , ( 142 ) ...### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

13 other sections not shown

### Other editions - View all

### Common terms and phrases

additive Akad algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complex Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity Nauk neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result Russian satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero